What is the volume occupied by 0.416 moles of CO_2 gas at standard temperature and pressure (STP)?

• A. 18.6 L
• B. 0.416 L
• C. 9.31 L
• D. 22.4 L

Answer: (C)

Verified step by step guidance

1. Recall that at standard temperature and pressure (STP), one mole of any ideal gas occupies 22.4 liters. This is a key concept from the ideal gas law and molar volume of gases.
2. Identify the given information: the number of moles of CO_2 gas is 0.416 moles, and the conditions are at STP.
3. Use the molar volume relationship to find the volume occupied by the gas: multiply the number of moles by the molar volume at STP.
4. Write the formula for volume at STP: \( V = n \times 22.4 \text{ L/mol} \), where \(n\) is the number of moles.
5. Substitute the given value of moles into the formula: \( V = 0.416 \times 22.4 \text{ L} \). This will give the volume occupied by 0.416 moles of CO_2 at STP.